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ISSN : 1226-0657

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Vol.22 No.3
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JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.3, pp.245-261
https://doi.org/10.7468/jksmeb.2015.22.3.245
KIM, JEE-HYE
KIM,, J. (2015). JACOBI-TRUDI TYPE FORMULA FOR PARABOLICALLY SEMISTANDARD TABLEAUX. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(3), 245-261, https://doi.org/10.7468/jksmeb.2015.22.3.245
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Abstract

The notion of a parabolically semistandard tableau is a generalisation of Young tableau, which explains combinatorial aspect of various Howe dualities of type A. We prove a Jacobi-Trudi type formula for the character of parabolically semistandard tableaux of a given generalised partition shape by using non-intersecting lattice paths.

keywords
Schur function, Jacobi-Trudi formula, Howe duality, Young tableaux

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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